A Modified Halpern′s Iterative Scheme for Solving Split Feasibility Problems
Jitsupa Deepho, Poom Kumam · Abstract and Applied Analysis · 2012
The purpose of this paper is to introduce and study a modified Halpern’s iterative scheme for solving the split feasibility problem (SFP) in the setting of infinite‐dimensional Hilbert spaces. Under suitable conditions a strong convergence theorem is established. The main result presented in this paper improves and extends some recent results done by Xu (Iterative methods for the split feasibility problem in infinite‐dimensional Hilbert space, Inverse Problem 26 (2010) 105018) and some others.